MTLN[mu,nu,n,nb]
denotes the positive component in the lightcone decomposition of the metric tensor along the vectors n
and nb
. It corresponds to .
If one omits n
and nb
, the program will use default vectors specified via $FCDefaultLightconeVectorN
and $FCDefaultLightconeVectorNB
.
Overview, Pair, FVLP, FVLN, FVLR, SPLP, SPLN, SPLR, MTLP, MTLR.
[\[Mu], \[Nu], n, nb] MTLN
StandardForm[MTLN[\[Mu], \[Nu], n, nb] // FCI]
Notice that the properties of n
and nb
vectors have to be set by hand before doing the actual computation
[\[Mu], \[Nu], n, nb] FV[p, \[Mu]] // Contract MTLN
[\[Mu], \[Nu], n, nb] FV[p, \[Nu]] // Contract MTLN
[\[Mu], \[Nu], n, nb] FV[n, \[Nu]] // Contract MTLN
[]
FCClearScalarProducts[n] = 0;
SP[nb] = 0;
SP[n, nb] = 2; SP
[\[Mu], \[Nu], n, nb] FV[n, \[Nu]] // Contract MTLN
[] FCClearScalarProducts